Question

Using traditional methods it takes 11.9 hours to receive a basic driving license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique on 23 students and observed that they had a mean of 12.0 hours with a standard deviation of 1.2. Is there evidence at the 0.05 level that the technique performs differently than the traditional method? Assume the population distribution is approximately normal.

Step 1 of 5:

State the null and alternative hypotheses.

Step 2 of 5:

Find the value of the test statistic. Round your answer to three decimal places.

Step 3 of 5:

Specify if the test is one-tailed or two-tailed.

Step 4 of 5:

Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Step 5 of 5:

Make the decision to reject or fail to reject the null hypothesis.

Question #2:

Using traditional methods it takes 11.4 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique on 24 students and observed that they had a mean of 11.2 hours with a standard deviation of 1.4. Is there evidence at the 0.1 level that the technique reduces the training time? Assume the population distribution is approximately normal.

Step 1 of 5:

State the null and alternative hypotheses.

Step 2 of 5:

Find the value of the test statistic. Round your answer to three decimal places.

Step 3 of 5:

Specify if the test is one-tailed or two-tailed.

Step 4 of 5:

Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Step 5 of 5:

Make the decision to reject or fail to reject the null hypothesis.

Answer 1

Question 1)

The test is two-tailed since the alternative hypothesis contains sign.

Question 2)

The test is one-tailed since the alternative hypothesis contains ​​​​< sign.